{"id":5547,"date":"2016-02-05T13:37:47","date_gmt":"2016-02-05T12:37:47","guid":{"rendered":"http:\/\/www.matematicaok.it\/?p=5547"},"modified":"2016-02-08T09:11:37","modified_gmt":"2016-02-08T08:11:37","slug":"esercizio-20-fascio-di-circonferenze","status":"publish","type":"post","link":"https:\/\/www.matematicaok.com\/?p=5547","title":{"rendered":"Esercizio 25 \u2013 Fascio di circonferenze"},"content":{"rendered":"<p>Considera il fascio di circonferenze di equazione x<sup>2<\/sup> + y<sup>2<\/sup> + (2 &#8211; k) x + (k &#8211; 8) y &#8211; 3 + k = 0 e studia le sue caratteristiche. Trova per quali valori di k si ha la circonferenza:<br \/>\na) passante per l&#8217;origine;<br \/>\nb) di raggio uguale a <img loading=\"lazy\" decoding=\"async\" class=\"\" src=\"https:\/\/upload.wikimedia.org\/math\/1\/7\/c\/17c68e294ba0dc1356295bac633bf868.png\" alt=\"\\sqrt {3}\" width=\"23\" height=\"18\" \/>;<br \/>\nc) tangente all&#8217;asse y;<br \/>\nd) con il centro che ha distanza dall&#8217;origine minore di 5\/2 <img loading=\"lazy\" decoding=\"async\" class=\"\" src=\"https:\/\/upload.wikimedia.org\/math\/b\/d\/3\/bd392ee2edb7951d5058b1c353f2a511.png\" alt=\"\\sqrt {2}\" width=\"22\" height=\"18\" \/>\u00a0.<\/p>\n<p><a href=\"http:\/\/www.matematicaok.it\/wp-content\/uploads\/2015\/12\/Es25a_Circonferenze.jpg\" rel=\"attachment wp-att-6836\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-large wp-image-6836\" src=\"http:\/\/www.matematicaok.it\/wp-content\/uploads\/2015\/12\/Es25a_Circonferenze-814x1024.jpg\" alt=\"Fascio di circonferenze\" width=\"677\" height=\"852\" srcset=\"https:\/\/www.matematicaok.com\/wp-content\/uploads\/2015\/12\/Es25a_Circonferenze-814x1024.jpg 814w, https:\/\/www.matematicaok.com\/wp-content\/uploads\/2015\/12\/Es25a_Circonferenze-238x300.jpg 238w, https:\/\/www.matematicaok.com\/wp-content\/uploads\/2015\/12\/Es25a_Circonferenze-768x966.jpg 768w, https:\/\/www.matematicaok.com\/wp-content\/uploads\/2015\/12\/Es25a_Circonferenze.jpg 1240w\" sizes=\"auto, (max-width: 677px) 100vw, 677px\" \/><\/a><\/p>\n<p><a href=\"http:\/\/www.matematicaok.it\/wp-content\/uploads\/2015\/12\/Es25b_Circonferenze.jpg\" rel=\"attachment wp-att-6837\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-large wp-image-6837\" src=\"http:\/\/www.matematicaok.it\/wp-content\/uploads\/2015\/12\/Es25b_Circonferenze-760x1024.jpg\" alt=\"Fascio di circonferenze\" width=\"677\" height=\"912\" srcset=\"https:\/\/www.matematicaok.com\/wp-content\/uploads\/2015\/12\/Es25b_Circonferenze-760x1024.jpg 760w, https:\/\/www.matematicaok.com\/wp-content\/uploads\/2015\/12\/Es25b_Circonferenze-223x300.jpg 223w, https:\/\/www.matematicaok.com\/wp-content\/uploads\/2015\/12\/Es25b_Circonferenze-768x1034.jpg 768w, https:\/\/www.matematicaok.com\/wp-content\/uploads\/2015\/12\/Es25b_Circonferenze.jpg 1240w\" sizes=\"auto, (max-width: 677px) 100vw, 677px\" \/><\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Considera il fascio di circonferenze di equazione x2 + y2 + (2 &#8211; k) x + (k &#8211; 8) y &#8211; 3 + k = 0 e studia le sue caratteristiche. Trova per quali valori di k si ha la circonferenza: a) passante per l&#8217;origine; b) di raggio uguale a ; c) tangente all&#8217;asse y; d) con il centro che ha distanza dall&#8217;origine minore di 5\/2 \u00a0.<\/p>\n","protected":false},"author":1,"featured_media":6836,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"jetpack_post_was_ever_published":false,"_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":false,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"_jetpack_memberships_contains_paid_content":false,"footnotes":"","jetpack_publicize_message":"","jetpack_publicize_feature_enabled":true,"jetpack_social_post_already_shared":true,"jetpack_social_options":{"image_generator_settings":{"template":"highway","enabled":false},"version":2}},"categories":[125,127,128],"tags":[],"class_list":["post-5547","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-circonferenza","category-esercizi-svolti","category-geometria-analitica"],"jetpack_publicize_connections":[],"jetpack_sharing_enabled":true,"jetpack_featured_media_url":"https:\/\/www.matematicaok.com\/wp-content\/uploads\/2015\/12\/Es25a_Circonferenze.jpg","jetpack_shortlink":"https:\/\/wp.me\/p85Wmq-1rt","_links":{"self":[{"href":"https:\/\/www.matematicaok.com\/index.php?rest_route=\/wp\/v2\/posts\/5547","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.matematicaok.com\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.matematicaok.com\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.matematicaok.com\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.matematicaok.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=5547"}],"version-history":[{"count":5,"href":"https:\/\/www.matematicaok.com\/index.php?rest_route=\/wp\/v2\/posts\/5547\/revisions"}],"predecessor-version":[{"id":6838,"href":"https:\/\/www.matematicaok.com\/index.php?rest_route=\/wp\/v2\/posts\/5547\/revisions\/6838"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.matematicaok.com\/index.php?rest_route=\/wp\/v2\/media\/6836"}],"wp:attachment":[{"href":"https:\/\/www.matematicaok.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=5547"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.matematicaok.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=5547"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.matematicaok.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=5547"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}